Verified answer

Resposta:

[tex](5^3)^7=5^{21}=476837158203125[/tex]

Explicação passo a passo:

[tex](5^3)^7 = (5^3)\times(5^3)\times(5^3)\times(5^3)\times(5^3)\times(5^3)\times(5^3)[/tex]

Mas

[tex](5^3) = 5\times 5\times 5[/tex]

Então [tex](5^3)^7=5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5\times5[/tex]

E portanto

[tex](5^3)^7=5^{21}=476837158203125[/tex]